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Finding the Fourth Proportional to 580,429.25, 870,643.74 and 380,703.50

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Solution

The fourth proportional to 580,429.25, 870,643.74 and 380,703.50 is: 571,055.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,429.25 : 870,643.74 = 380,703.50 : x
  2. Step 2: Convert to fraction form
    580,429.25/870,643.74 = 380,703.50/x
  3. Step 3: Cross multiply
    580,429.25x = 870,643.74 × 380,703.50
  4. Step 4: Simplify right side
    580,429.25x = 331,457,119,071.09
  5. Step 5: Solve for x
    x = 331,457,119,071.09/580,429.25
  6. Step 6: Final answer
    x = 571,055.16

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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.