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Finding the Fourth Proportional to 708,525.86, 977,730.34 and 402,561.82

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Solution

The fourth proportional to 708,525.86, 977,730.34 and 402,561.82 is: 555,515.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,525.86 : 977,730.34 = 402,561.82 : x
  2. Step 2: Convert to fraction form
    708,525.86/977,730.34 = 402,561.82/x
  3. Step 3: Cross multiply
    708,525.86x = 977,730.34 × 402,561.82
  4. Step 4: Simplify right side
    708,525.86x = 393,596,905,139.62
  5. Step 5: Solve for x
    x = 393,596,905,139.62/708,525.86
  6. Step 6: Final answer
    x = 555,515.23

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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.