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Finding the Fourth Proportional to 693,106, 956,489.16 and 375,154

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Solution

The fourth proportional to 693,106, 956,489.16 and 375,154 is: 517,714.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,106 : 956,489.16 = 375,154 : x
  2. Step 2: Convert to fraction form
    693,106/956,489.16 = 375,154/x
  3. Step 3: Cross multiply
    693,106x = 956,489.16 × 375,154
  4. Step 4: Simplify right side
    693,106x = 358,830,734,330.64
  5. Step 5: Solve for x
    x = 358,830,734,330.64/693,106
  6. Step 6: Final answer
    x = 517,714.08

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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.