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Finding the Fourth Proportional to 507,931.18, 700,941.31 and 278,484.68

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Solution

The fourth proportional to 507,931.18, 700,941.31 and 278,484.68 is: 384,306.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,931.18 : 700,941.31 = 278,484.68 : x
  2. Step 2: Convert to fraction form
    507,931.18/700,941.31 = 278,484.68/x
  3. Step 3: Cross multiply
    507,931.18x = 700,941.31 × 278,484.68
  4. Step 4: Simplify right side
    507,931.18x = 195,201,415,021.71
  5. Step 5: Solve for x
    x = 195,201,415,021.71/507,931.18
  6. Step 6: Final answer
    x = 384,306.82

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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.