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Finding the Fourth Proportional to 513,851.51, 709,116.47 and 284,424.59

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Solution

The fourth proportional to 513,851.51, 709,116.47 and 284,424.59 is: 392,506.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,851.51 : 709,116.47 = 284,424.59 : x
  2. Step 2: Convert to fraction form
    513,851.51/709,116.47 = 284,424.59/x
  3. Step 3: Cross multiply
    513,851.51x = 709,116.47 × 284,424.59
  4. Step 4: Simplify right side
    513,851.51x = 201,690,156,274.29
  5. Step 5: Solve for x
    x = 201,690,156,274.29/513,851.51
  6. Step 6: Final answer
    x = 392,506.70

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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.