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Finding the Fourth Proportional to 630,714.47, 945,407.30 and 314,507.08

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Solution

The fourth proportional to 630,714.47, 945,407.30 and 314,507.08 is: 471,429.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,714.47 : 945,407.30 = 314,507.08 : x
  2. Step 2: Convert to fraction form
    630,714.47/945,407.30 = 314,507.08/x
  3. Step 3: Cross multiply
    630,714.47x = 945,407.30 × 314,507.08
  4. Step 4: Simplify right side
    630,714.47x = 297,337,286,283.95
  5. Step 5: Solve for x
    x = 297,337,286,283.95/630,714.47
  6. Step 6: Final answer
    x = 471,429.31

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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.