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Finding the Fourth Proportional to 523,528.40, 785,875.80 and 287,332.40

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Solution

The fourth proportional to 523,528.40, 785,875.80 and 287,332.40 is: 431,318.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,528.40 : 785,875.80 = 287,332.40 : x
  2. Step 2: Convert to fraction form
    523,528.40/785,875.80 = 287,332.40/x
  3. Step 3: Cross multiply
    523,528.40x = 785,875.80 × 287,332.40
  4. Step 4: Simplify right side
    523,528.40x = 225,807,579,715.92
  5. Step 5: Solve for x
    x = 225,807,579,715.92/523,528.40
  6. Step 6: Final answer
    x = 431,318.68

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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.