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Finding the Fourth Proportional to 419,333.76, 578,590.32 and 249,534.72

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Solution

The fourth proportional to 419,333.76, 578,590.32 and 249,534.72 is: 344,304.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,333.76 : 578,590.32 = 249,534.72 : x
  2. Step 2: Convert to fraction form
    419,333.76/578,590.32 = 249,534.72/x
  3. Step 3: Cross multiply
    419,333.76x = 578,590.32 × 249,534.72
  4. Step 4: Simplify right side
    419,333.76x = 144,378,373,495.91
  5. Step 5: Solve for x
    x = 144,378,373,495.91/419,333.76
  6. Step 6: Final answer
    x = 344,304.20

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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.