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Finding the Fourth Proportional to 497,538.80, 745,487.40 and 286,809.20

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Solution

The fourth proportional to 497,538.80, 745,487.40 and 286,809.20 is: 429,740.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,538.80 : 745,487.40 = 286,809.20 : x
  2. Step 2: Convert to fraction form
    497,538.80/745,487.40 = 286,809.20/x
  3. Step 3: Cross multiply
    497,538.80x = 745,487.40 × 286,809.20
  4. Step 4: Simplify right side
    497,538.80x = 213,812,644,804.08
  5. Step 5: Solve for x
    x = 213,812,644,804.08/497,538.80
  6. Step 6: Final answer
    x = 429,740.64

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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.