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Finding the Fourth Proportional to 472,607.96, 651,830.42 and 302,857.88

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Solution

The fourth proportional to 472,607.96, 651,830.42 and 302,857.88 is: 417,707.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,607.96 : 651,830.42 = 302,857.88 : x
  2. Step 2: Convert to fraction form
    472,607.96/651,830.42 = 302,857.88/x
  3. Step 3: Cross multiply
    472,607.96x = 651,830.42 × 302,857.88
  4. Step 4: Simplify right side
    472,607.96x = 197,411,979,120.71
  5. Step 5: Solve for x
    x = 197,411,979,120.71/472,607.96
  6. Step 6: Final answer
    x = 417,707.69

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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.