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Finding the Fourth Proportional to 509,329.88, 702,897.10 and 282,975.38

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Solution

The fourth proportional to 509,329.88, 702,897.10 and 282,975.38 is: 390,518.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,329.88 : 702,897.10 = 282,975.38 : x
  2. Step 2: Convert to fraction form
    509,329.88/702,897.10 = 282,975.38/x
  3. Step 3: Cross multiply
    509,329.88x = 702,897.10 × 282,975.38
  4. Step 4: Simplify right side
    509,329.88x = 198,902,569,751.47
  5. Step 5: Solve for x
    x = 198,902,569,751.47/509,329.88
  6. Step 6: Final answer
    x = 390,518.17

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1.5x scale

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.