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Finding the Fourth Proportional to 509,058.08, 702,480.89 and 282,718.16

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Solution

The fourth proportional to 509,058.08, 702,480.89 and 282,718.16 is: 390,140.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,058.08 : 702,480.89 = 282,718.16 : x
  2. Step 2: Convert to fraction form
    509,058.08/702,480.89 = 282,718.16/x
  3. Step 3: Cross multiply
    509,058.08x = 702,480.89 × 282,718.16
  4. Step 4: Simplify right side
    509,058.08x = 198,604,101,850.35
  5. Step 5: Solve for x
    x = 198,604,101,850.35/509,058.08
  6. Step 6: Final answer
    x = 390,140.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.