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Finding the Fourth Proportional to 478,303.64, 660,034.10 and 297,011.69

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Solution

The fourth proportional to 478,303.64, 660,034.10 and 297,011.69 is: 409,860.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,303.64 : 660,034.10 = 297,011.69 : x
  2. Step 2: Convert to fraction form
    478,303.64/660,034.10 = 297,011.69/x
  3. Step 3: Cross multiply
    478,303.64x = 660,034.10 × 297,011.69
  4. Step 4: Simplify right side
    478,303.64x = 196,037,840,198.46
  5. Step 5: Solve for x
    x = 196,037,840,198.46/478,303.64
  6. Step 6: Final answer
    x = 409,860.65

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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.