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Finding the Fourth Proportional to 706,345.85, 975,117.89 and 478,109.32

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Solution

The fourth proportional to 706,345.85, 975,117.89 and 478,109.32 is: 660,034.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,345.85 : 975,117.89 = 478,109.32 : x
  2. Step 2: Convert to fraction form
    706,345.85/975,117.89 = 478,109.32/x
  3. Step 3: Cross multiply
    706,345.85x = 975,117.89 × 478,109.32
  4. Step 4: Simplify right side
    706,345.85x = 466,212,950,065.21
  5. Step 5: Solve for x
    x = 466,212,950,065.21/706,345.85
  6. Step 6: Final answer
    x = 660,034.95

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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.