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Finding the Fourth Proportional to 284,465.70, 426,698.55 and 144,497.70

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Solution

The fourth proportional to 284,465.70, 426,698.55 and 144,497.70 is: 216,746.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,465.70 : 426,698.55 = 144,497.70 : x
  2. Step 2: Convert to fraction form
    284,465.70/426,698.55 = 144,497.70/x
  3. Step 3: Cross multiply
    284,465.70x = 426,698.55 × 144,497.70
  4. Step 4: Simplify right side
    284,465.70x = 61,656,959,068.34
  5. Step 5: Solve for x
    x = 61,656,959,068.34/284,465.70
  6. Step 6: Final answer
    x = 216,746.55

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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.