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Finding the Fourth Proportional to 614,445.28, 847,902 and 346,156

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Solution

The fourth proportional to 614,445.28, 847,902 and 346,156 is: 477,676.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,445.28 : 847,902 = 346,156 : x
  2. Step 2: Convert to fraction form
    614,445.28/847,902 = 346,156/x
  3. Step 3: Cross multiply
    614,445.28x = 847,902 × 346,156
  4. Step 4: Simplify right side
    614,445.28x = 293,506,364,712
  5. Step 5: Solve for x
    x = 293,506,364,712/614,445.28
  6. Step 6: Final answer
    x = 477,676.98

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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.