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Finding the Fourth Proportional to 402,417.60, 603,407.70 and 165,784.20

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Solution

The fourth proportional to 402,417.60, 603,407.70 and 165,784.20 is: 248,586.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,417.60 : 603,407.70 = 165,784.20 : x
  2. Step 2: Convert to fraction form
    402,417.60/603,407.70 = 165,784.20/x
  3. Step 3: Cross multiply
    402,417.60x = 603,407.70 × 165,784.20
  4. Step 4: Simplify right side
    402,417.60x = 100,035,462,818.34
  5. Step 5: Solve for x
    x = 100,035,462,818.34/402,417.60
  6. Step 6: Final answer
    x = 248,586.20

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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.