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Finding the Fourth Proportional to 650,070.32, 974,292.96 and 313,048.16

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Solution

The fourth proportional to 650,070.32, 974,292.96 and 313,048.16 is: 469,180.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,070.32 : 974,292.96 = 313,048.16 : x
  2. Step 2: Convert to fraction form
    650,070.32/974,292.96 = 313,048.16/x
  3. Step 3: Cross multiply
    650,070.32x = 974,292.96 × 313,048.16
  4. Step 4: Simplify right side
    650,070.32x = 305,000,618,428.95
  5. Step 5: Solve for x
    x = 305,000,618,428.95/650,070.32
  6. Step 6: Final answer
    x = 469,180.96

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1.5x scale

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.