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Finding the Fourth Proportional to 514,971.60, 772,457.40 and 487,415.40

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Solution

The fourth proportional to 514,971.60, 772,457.40 and 487,415.40 is: 731,123.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,971.60 : 772,457.40 = 487,415.40 : x
  2. Step 2: Convert to fraction form
    514,971.60/772,457.40 = 487,415.40/x
  3. Step 3: Cross multiply
    514,971.60x = 772,457.40 × 487,415.40
  4. Step 4: Simplify right side
    514,971.60x = 376,507,632,603.96
  5. Step 5: Solve for x
    x = 376,507,632,603.96/514,971.60
  6. Step 6: Final answer
    x = 731,123.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.