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Finding the Fourth Proportional to 434,427.60, 651,641.40 and 402,934.80

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Solution

The fourth proportional to 434,427.60, 651,641.40 and 402,934.80 is: 604,402.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,427.60 : 651,641.40 = 402,934.80 : x
  2. Step 2: Convert to fraction form
    434,427.60/651,641.40 = 402,934.80/x
  3. Step 3: Cross multiply
    434,427.60x = 651,641.40 × 402,934.80
  4. Step 4: Simplify right side
    434,427.60x = 262,568,997,180.72
  5. Step 5: Solve for x
    x = 262,568,997,180.72/434,427.60
  6. Step 6: Final answer
    x = 604,402.20

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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.