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Finding the Fourth Proportional to 359,132.40, 538,698.60 and 209,541.60

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Solution

The fourth proportional to 359,132.40, 538,698.60 and 209,541.60 is: 314,312.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,132.40 : 538,698.60 = 209,541.60 : x
  2. Step 2: Convert to fraction form
    359,132.40/538,698.60 = 209,541.60/x
  3. Step 3: Cross multiply
    359,132.40x = 538,698.60 × 209,541.60
  4. Step 4: Simplify right side
    359,132.40x = 112,879,766,561.76
  5. Step 5: Solve for x
    x = 112,879,766,561.76/359,132.40
  6. Step 6: Final answer
    x = 314,312.40

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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.