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Finding the Fourth Proportional to 978,603.15, 1,467,424.48 and 402,122.00

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Solution

The fourth proportional to 978,603.15, 1,467,424.48 and 402,122.00 is: 602,985.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,603.15 : 1,467,424.48 = 402,122.00 : x
  2. Step 2: Convert to fraction form
    978,603.15/1,467,424.48 = 402,122.00/x
  3. Step 3: Cross multiply
    978,603.15x = 1,467,424.48 × 402,122.00
  4. Step 4: Simplify right side
    978,603.15x = 590,083,661,909.53
  5. Step 5: Solve for x
    x = 590,083,661,909.53/978,603.15
  6. Step 6: Final answer
    x = 602,985.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.