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Finding the Fourth Proportional to 431,151.20, 646,726.80 and 386,050.40

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Solution

The fourth proportional to 431,151.20, 646,726.80 and 386,050.40 is: 579,075.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,151.20 : 646,726.80 = 386,050.40 : x
  2. Step 2: Convert to fraction form
    431,151.20/646,726.80 = 386,050.40/x
  3. Step 3: Cross multiply
    431,151.20x = 646,726.80 × 386,050.40
  4. Step 4: Simplify right side
    431,151.20x = 249,669,139,830.72
  5. Step 5: Solve for x
    x = 249,669,139,830.72/431,151.20
  6. Step 6: Final answer
    x = 579,075.60

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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.