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Finding the Fourth Proportional to 507,864.78, 700,848.90 and 278,417.90

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Solution

The fourth proportional to 507,864.78, 700,848.90 and 278,417.90 is: 384,214.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,864.78 : 700,848.90 = 278,417.90 : x
  2. Step 2: Convert to fraction form
    507,864.78/700,848.90 = 278,417.90/x
  3. Step 3: Cross multiply
    507,864.78x = 700,848.90 × 278,417.90
  4. Step 4: Simplify right side
    507,864.78x = 195,128,875,451.07
  5. Step 5: Solve for x
    x = 195,128,875,451.07/507,864.78
  6. Step 6: Final answer
    x = 384,214.23

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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.