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Finding the Fourth Proportional to 472,142, 651,555.96 and 260,174

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Solution

The fourth proportional to 472,142, 651,555.96 and 260,174 is: 359,040.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,142 : 651,555.96 = 260,174 : x
  2. Step 2: Convert to fraction form
    472,142/651,555.96 = 260,174/x
  3. Step 3: Cross multiply
    472,142x = 651,555.96 × 260,174
  4. Step 4: Simplify right side
    472,142x = 169,517,920,337.04
  5. Step 5: Solve for x
    x = 169,517,920,337.04/472,142
  6. Step 6: Final answer
    x = 359,040.12

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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.