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Finding the Fourth Proportional to 706,728.45, 975,280.44 and 400,864.35

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Solution

The fourth proportional to 706,728.45, 975,280.44 and 400,864.35 is: 553,190.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,728.45 : 975,280.44 = 400,864.35 : x
  2. Step 2: Convert to fraction form
    706,728.45/975,280.44 = 400,864.35/x
  3. Step 3: Cross multiply
    706,728.45x = 975,280.44 × 400,864.35
  4. Step 4: Simplify right side
    706,728.45x = 390,955,159,648.31
  5. Step 5: Solve for x
    x = 390,955,159,648.31/706,728.45
  6. Step 6: Final answer
    x = 553,190.07

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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.