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Finding the Fourth Proportional to 666,442.98, 919,688.54 and 360,518.61

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Solution

The fourth proportional to 666,442.98, 919,688.54 and 360,518.61 is: 497,514.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,442.98 : 919,688.54 = 360,518.61 : x
  2. Step 2: Convert to fraction form
    666,442.98/919,688.54 = 360,518.61/x
  3. Step 3: Cross multiply
    666,442.98x = 919,688.54 × 360,518.61
  4. Step 4: Simplify right side
    666,442.98x = 331,564,832,271.14
  5. Step 5: Solve for x
    x = 331,564,832,271.14/666,442.98
  6. Step 6: Final answer
    x = 497,514.18

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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.