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Finding the Fourth Proportional to 360,308, 540,457.68 and 338,386.24

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Solution

The fourth proportional to 360,308, 540,457.68 and 338,386.24 is: 507,575.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,308 : 540,457.68 = 338,386.24 : x
  2. Step 2: Convert to fraction form
    360,308/540,457.68 = 338,386.24/x
  3. Step 3: Cross multiply
    360,308x = 540,457.68 × 338,386.24
  4. Step 4: Simplify right side
    360,308x = 182,883,442,214.32
  5. Step 5: Solve for x
    x = 182,883,442,214.32/360,308
  6. Step 6: Final answer
    x = 507,575.30

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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.