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Finding the Fourth Proportional to 614,989.51, 848,320.16 and 478,807.76

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Solution

The fourth proportional to 614,989.51, 848,320.16 and 478,807.76 is: 660,470.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,989.51 : 848,320.16 = 478,807.76 : x
  2. Step 2: Convert to fraction form
    614,989.51/848,320.16 = 478,807.76/x
  3. Step 3: Cross multiply
    614,989.51x = 848,320.16 × 478,807.76
  4. Step 4: Simplify right side
    614,989.51x = 406,182,270,527.40
  5. Step 5: Solve for x
    x = 406,182,270,527.40/614,989.51
  6. Step 6: Final answer
    x = 660,470.24

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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.