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Finding the Fourth Proportional to 508,971.60, 702,445.32 and 307,878.48

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Solution

The fourth proportional to 508,971.60, 702,445.32 and 307,878.48 is: 424,911.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,971.60 : 702,445.32 = 307,878.48 : x
  2. Step 2: Convert to fraction form
    508,971.60/702,445.32 = 307,878.48/x
  3. Step 3: Cross multiply
    508,971.60x = 702,445.32 × 307,878.48
  4. Step 4: Simplify right side
    508,971.60x = 216,267,797,404.71
  5. Step 5: Solve for x
    x = 216,267,797,404.71/508,971.60
  6. Step 6: Final answer
    x = 424,911.33

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1.5x scale

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.