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Finding the Fourth Proportional to 823,411.60, 1,235,117.40 and 402,470.80

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Solution

The fourth proportional to 823,411.60, 1,235,117.40 and 402,470.80 is: 603,706.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,411.60 : 1,235,117.40 = 402,470.80 : x
  2. Step 2: Convert to fraction form
    823,411.60/1,235,117.40 = 402,470.80/x
  3. Step 3: Cross multiply
    823,411.60x = 1,235,117.40 × 402,470.80
  4. Step 4: Simplify right side
    823,411.60x = 497,098,688,071.92
  5. Step 5: Solve for x
    x = 497,098,688,071.92/823,411.60
  6. Step 6: Final answer
    x = 603,706.20

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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.