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Finding the Fourth Proportional to 507,897.90, 700,906.98 and 278,476.14

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Solution

The fourth proportional to 507,897.90, 700,906.98 and 278,476.14 is: 384,301.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,897.90 : 700,906.98 = 278,476.14 : x
  2. Step 2: Convert to fraction form
    507,897.90/700,906.98 = 278,476.14/x
  3. Step 3: Cross multiply
    507,897.90x = 700,906.98 × 278,476.14
  4. Step 4: Simplify right side
    507,897.90x = 195,185,870,289.46
  5. Step 5: Solve for x
    x = 195,185,870,289.46/507,897.90
  6. Step 6: Final answer
    x = 384,301.39

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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.