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Finding the Fourth Proportional to 514,726.70, 771,830.85 and 304,429.10

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Solution

The fourth proportional to 514,726.70, 771,830.85 and 304,429.10 is: 456,490.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,726.70 : 771,830.85 = 304,429.10 : x
  2. Step 2: Convert to fraction form
    514,726.70/771,830.85 = 304,429.10/x
  3. Step 3: Cross multiply
    514,726.70x = 771,830.85 × 304,429.10
  4. Step 4: Simplify right side
    514,726.70x = 234,967,771,017.74
  5. Step 5: Solve for x
    x = 234,967,771,017.74/514,726.70
  6. Step 6: Final answer
    x = 456,490.35

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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.