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Finding the Fourth Proportional to 507,811, 700,802.04 and 290,038.60

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Solution

The fourth proportional to 507,811, 700,802.04 and 290,038.60 is: 400,266.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,811 : 700,802.04 = 290,038.60 : x
  2. Step 2: Convert to fraction form
    507,811/700,802.04 = 290,038.60/x
  3. Step 3: Cross multiply
    507,811x = 700,802.04 × 290,038.60
  4. Step 4: Simplify right side
    507,811x = 203,259,642,558.74
  5. Step 5: Solve for x
    x = 203,259,642,558.74/507,811
  6. Step 6: Final answer
    x = 400,266.32

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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.