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Finding the Fourth Proportional to 304,442.10, 456,663.15 and 138,230.10

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Solution

The fourth proportional to 304,442.10, 456,663.15 and 138,230.10 is: 207,345.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,442.10 : 456,663.15 = 138,230.10 : x
  2. Step 2: Convert to fraction form
    304,442.10/456,663.15 = 138,230.10/x
  3. Step 3: Cross multiply
    304,442.10x = 456,663.15 × 138,230.10
  4. Step 4: Simplify right side
    304,442.10x = 63,124,592,890.82
  5. Step 5: Solve for x
    x = 63,124,592,890.82/304,442.10
  6. Step 6: Final answer
    x = 207,345.15

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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.