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Finding the Fourth Proportional to 714,710.94, 986,303.01 and 392,441.91

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Solution

The fourth proportional to 714,710.94, 986,303.01 and 392,441.91 is: 541,570.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,710.94 : 986,303.01 = 392,441.91 : x
  2. Step 2: Convert to fraction form
    714,710.94/986,303.01 = 392,441.91/x
  3. Step 3: Cross multiply
    714,710.94x = 986,303.01 × 392,441.91
  4. Step 4: Simplify right side
    714,710.94x = 387,066,637,083.15
  5. Step 5: Solve for x
    x = 387,066,637,083.15/714,710.94
  6. Step 6: Final answer
    x = 541,570.89

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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.