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Finding the Fourth Proportional to 497,536.80, 745,484.40 and 286,807.20

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Solution

The fourth proportional to 497,536.80, 745,484.40 and 286,807.20 is: 429,737.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,536.80 : 745,484.40 = 286,807.20 : x
  2. Step 2: Convert to fraction form
    497,536.80/745,484.40 = 286,807.20/x
  3. Step 3: Cross multiply
    497,536.80x = 745,484.40 × 286,807.20
  4. Step 4: Simplify right side
    497,536.80x = 213,810,293,407.68
  5. Step 5: Solve for x
    x = 213,810,293,407.68/497,536.80
  6. Step 6: Final answer
    x = 429,737.65

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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.