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Finding the Fourth Proportional to 509,353.76, 702,903.12 and 282,994.40

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Solution

The fourth proportional to 509,353.76, 702,903.12 and 282,994.40 is: 390,529.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,353.76 : 702,903.12 = 282,994.40 : x
  2. Step 2: Convert to fraction form
    509,353.76/702,903.12 = 282,994.40/x
  3. Step 3: Cross multiply
    509,353.76x = 702,903.12 × 282,994.40
  4. Step 4: Simplify right side
    509,353.76x = 198,917,646,702.53
  5. Step 5: Solve for x
    x = 198,917,646,702.53/509,353.76
  6. Step 6: Final answer
    x = 390,529.46

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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.