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Finding the Fourth Proportional to 288,860.72, 433,503.88 and 137,058.32

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Solution

The fourth proportional to 288,860.72, 433,503.88 and 137,058.32 is: 205,688.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,860.72 : 433,503.88 = 137,058.32 : x
  2. Step 2: Convert to fraction form
    288,860.72/433,503.88 = 137,058.32/x
  3. Step 3: Cross multiply
    288,860.72x = 433,503.88 × 137,058.32
  4. Step 4: Simplify right side
    288,860.72x = 59,415,313,506.28
  5. Step 5: Solve for x
    x = 59,415,313,506.28/288,860.72
  6. Step 6: Final answer
    x = 205,688.45

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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.