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Finding the Fourth Proportional to 530,714.48, 732,386.02 and 288,996.98

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Solution

The fourth proportional to 530,714.48, 732,386.02 and 288,996.98 is: 398,815.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,714.48 : 732,386.02 = 288,996.98 : x
  2. Step 2: Convert to fraction form
    530,714.48/732,386.02 = 288,996.98/x
  3. Step 3: Cross multiply
    530,714.48x = 732,386.02 × 288,996.98
  4. Step 4: Simplify right side
    530,714.48x = 211,657,347,974.22
  5. Step 5: Solve for x
    x = 211,657,347,974.22/530,714.48
  6. Step 6: Final answer
    x = 398,815.85

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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.