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Finding the Fourth Proportional to 507,298.92, 700,071 and 286,512.05

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Solution

The fourth proportional to 507,298.92, 700,071 and 286,512.05 is: 395,385.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,298.92 : 700,071 = 286,512.05 : x
  2. Step 2: Convert to fraction form
    507,298.92/700,071 = 286,512.05/x
  3. Step 3: Cross multiply
    507,298.92x = 700,071 × 286,512.05
  4. Step 4: Simplify right side
    507,298.92x = 200,578,773,855.20
  5. Step 5: Solve for x
    x = 200,578,773,855.20/507,298.92
  6. Step 6: Final answer
    x = 395,385.77

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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.