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Finding the Fourth Proportional to 706,421.80, 1,059,632.70 and 407,823.40

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Solution

The fourth proportional to 706,421.80, 1,059,632.70 and 407,823.40 is: 611,735.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,421.80 : 1,059,632.70 = 407,823.40 : x
  2. Step 2: Convert to fraction form
    706,421.80/1,059,632.70 = 407,823.40/x
  3. Step 3: Cross multiply
    706,421.80x = 1,059,632.70 × 407,823.40
  4. Step 4: Simplify right side
    706,421.80x = 432,143,010,465.18
  5. Step 5: Solve for x
    x = 432,143,010,465.18/706,421.80
  6. Step 6: Final answer
    x = 611,735.10

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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.