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Finding the Fourth Proportional to 287,669, 431,503.80 and 155,390.33

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Solution

The fourth proportional to 287,669, 431,503.80 and 155,390.33 is: 233,085.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,669 : 431,503.80 = 155,390.33 : x
  2. Step 2: Convert to fraction form
    287,669/431,503.80 = 155,390.33/x
  3. Step 3: Cross multiply
    287,669x = 431,503.80 × 155,390.33
  4. Step 4: Simplify right side
    287,669x = 67,051,517,878.25
  5. Step 5: Solve for x
    x = 67,051,517,878.25/287,669
  6. Step 6: Final answer
    x = 233,085.66

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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.