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Finding the Fourth Proportional to 717,423, 989,957.06 and 411,483.58

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Solution

The fourth proportional to 717,423, 989,957.06 and 411,483.58 is: 567,797.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,423 : 989,957.06 = 411,483.58 : x
  2. Step 2: Convert to fraction form
    717,423/989,957.06 = 411,483.58/x
  3. Step 3: Cross multiply
    717,423x = 989,957.06 × 411,483.58
  4. Step 4: Simplify right side
    717,423x = 407,351,075,095.08
  5. Step 5: Solve for x
    x = 407,351,075,095.08/717,423
  6. Step 6: Final answer
    x = 567,797.62

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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.