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Finding the Fourth Proportional to 509,147.24, 702,603.54 and 282,807.08

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Solution

The fourth proportional to 509,147.24, 702,603.54 and 282,807.08 is: 390,262.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,147.24 : 702,603.54 = 282,807.08 : x
  2. Step 2: Convert to fraction form
    509,147.24/702,603.54 = 282,807.08/x
  3. Step 3: Cross multiply
    509,147.24x = 702,603.54 × 282,807.08
  4. Step 4: Simplify right side
    509,147.24x = 198,701,255,545.06
  5. Step 5: Solve for x
    x = 198,701,255,545.06/509,147.24
  6. Step 6: Final answer
    x = 390,262.86

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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.