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Finding the Fourth Proportional to 284,357.21, 392,410.49 and 157,030.07

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Solution

The fourth proportional to 284,357.21, 392,410.49 and 157,030.07 is: 216,700.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,357.21 : 392,410.49 = 157,030.07 : x
  2. Step 2: Convert to fraction form
    284,357.21/392,410.49 = 157,030.07/x
  3. Step 3: Cross multiply
    284,357.21x = 392,410.49 × 157,030.07
  4. Step 4: Simplify right side
    284,357.21x = 61,620,243,966.23
  5. Step 5: Solve for x
    x = 61,620,243,966.23/284,357.21
  6. Step 6: Final answer
    x = 216,700.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.