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Finding the Fourth Proportional to 531,128.85, 732,948.32 and 289,413.51

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Solution

The fourth proportional to 531,128.85, 732,948.32 and 289,413.51 is: 399,385.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,128.85 : 732,948.32 = 289,413.51 : x
  2. Step 2: Convert to fraction form
    531,128.85/732,948.32 = 289,413.51/x
  3. Step 3: Cross multiply
    531,128.85x = 732,948.32 × 289,413.51
  4. Step 4: Simplify right side
    531,128.85x = 212,125,144,492.74
  5. Step 5: Solve for x
    x = 212,125,144,492.74/531,128.85
  6. Step 6: Final answer
    x = 399,385.47

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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.