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Finding the Fourth Proportional to 478,429.60, 717,644.40 and 400,280.80

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Solution

The fourth proportional to 478,429.60, 717,644.40 and 400,280.80 is: 600,421.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,429.60 : 717,644.40 = 400,280.80 : x
  2. Step 2: Convert to fraction form
    478,429.60/717,644.40 = 400,280.80/x
  3. Step 3: Cross multiply
    478,429.60x = 717,644.40 × 400,280.80
  4. Step 4: Simplify right side
    478,429.60x = 287,259,274,547.52
  5. Step 5: Solve for x
    x = 287,259,274,547.52/478,429.60
  6. Step 6: Final answer
    x = 600,421.20

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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.