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Finding the Fourth Proportional to 284,955,642.40, 427,433,463.60 and 194,256,378.40

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Solution

The fourth proportional to 284,955,642.40, 427,433,463.60 and 194,256,378.40 is: 291,384,567.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,955,642.40 : 427,433,463.60 = 194,256,378.40 : x
  2. Step 2: Convert to fraction form
    284,955,642.40/427,433,463.60 = 194,256,378.40/x
  3. Step 3: Cross multiply
    284,955,642.40x = 427,433,463.60 × 194,256,378.40
  4. Step 4: Simplify right side
    284,955,642.40x = 83,031,676,645,904,240
  5. Step 5: Solve for x
    x = 83,031,676,645,904,240/284,955,642.40
  6. Step 6: Final answer
    x = 291,384,567.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.