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Finding the Fourth Proportional to 470,042, 648,657.96 and 258,074

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Solution

The fourth proportional to 470,042, 648,657.96 and 258,074 is: 356,142.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,042 : 648,657.96 = 258,074 : x
  2. Step 2: Convert to fraction form
    470,042/648,657.96 = 258,074/x
  3. Step 3: Cross multiply
    470,042x = 648,657.96 × 258,074
  4. Step 4: Simplify right side
    470,042x = 167,401,754,369.04
  5. Step 5: Solve for x
    x = 167,401,754,369.04/470,042
  6. Step 6: Final answer
    x = 356,142.12

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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.