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Finding the Fourth Proportional to 507,846.47, 700,878.24 and 290,087.68

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Solution

The fourth proportional to 507,846.47, 700,878.24 and 290,087.68 is: 400,349.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,846.47 : 700,878.24 = 290,087.68 : x
  2. Step 2: Convert to fraction form
    507,846.47/700,878.24 = 290,087.68/x
  3. Step 3: Cross multiply
    507,846.47x = 700,878.24 × 290,087.68
  4. Step 4: Simplify right side
    507,846.47x = 203,316,140,851.89
  5. Step 5: Solve for x
    x = 203,316,140,851.89/507,846.47
  6. Step 6: Final answer
    x = 400,349.62

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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.