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Finding the Fourth Proportional to 506,530.40, 759,795.60 and 457,541.60

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Solution

The fourth proportional to 506,530.40, 759,795.60 and 457,541.60 is: 686,312.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,530.40 : 759,795.60 = 457,541.60 : x
  2. Step 2: Convert to fraction form
    506,530.40/759,795.60 = 457,541.60/x
  3. Step 3: Cross multiply
    506,530.40x = 759,795.60 × 457,541.60
  4. Step 4: Simplify right side
    506,530.40x = 347,638,094,496.96
  5. Step 5: Solve for x
    x = 347,638,094,496.96/506,530.40
  6. Step 6: Final answer
    x = 686,312.40

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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.