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Finding the Fourth Proportional to 545,302.40, 816,009.60 and 345,718.40

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Solution

The fourth proportional to 545,302.40, 816,009.60 and 345,718.40 is: 517,345.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,302.40 : 816,009.60 = 345,718.40 : x
  2. Step 2: Convert to fraction form
    545,302.40/816,009.60 = 345,718.40/x
  3. Step 3: Cross multiply
    545,302.40x = 816,009.60 × 345,718.40
  4. Step 4: Simplify right side
    545,302.40x = 282,109,533,296.64
  5. Step 5: Solve for x
    x = 282,109,533,296.64/545,302.40
  6. Step 6: Final answer
    x = 517,345.12

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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.